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Finding the Fourth Proportional to 306,820.28, 423,415.14 and 179,471

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Solution

The fourth proportional to 306,820.28, 423,415.14 and 179,471 is: 247,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,820.28 : 423,415.14 = 179,471 : x
  2. Step 2: Convert to fraction form
    306,820.28/423,415.14 = 179,471/x
  3. Step 3: Cross multiply
    306,820.28x = 423,415.14 × 179,471
  4. Step 4: Simplify right side
    306,820.28x = 75,990,738,590.94
  5. Step 5: Solve for x
    x = 75,990,738,590.94/306,820.28
  6. Step 6: Final answer
    x = 247,671.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.